Generative-Adversarial-Network / GAN_debugging.ipynb
GAN_debugging.ipynb
Raw
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAN Debugging Notebook\n",
    "\n",
    "This notebook is provided to help you debug your code. We provide you with small discriminator and generator networks that you can train on the MNIST dataset. This small GAN can be trained quickly on MNIST and will help you verify that your loss functions and training code is correct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 51
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 805,
     "status": "ok",
     "timestamp": 1541617322541,
     "user": {
      "displayName": "Daniel McKee",
      "photoUrl": "",
      "userId": "05833574158187352909"
     },
     "user_tz": 360
    },
    "id": "QRNx4wtGvPYR",
    "outputId": "2f26829c-4533-432c-b698-d645e512eee4"
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torchvision import datasets\n",
    "from torchvision import transforms\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision.datasets import ImageFolder\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "-710Hh-8-nti"
   },
   "outputs": [],
   "source": [
    "from gan.train import train\n",
    "from gan.utils import sample_noise, show_images, deprocess_img, preprocess_img\n",
    "from gan.losses import discriminator_loss, generator_loss, ls_discriminator_loss, ls_generator_loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda:0\n"
     ]
    }
   ],
   "source": [
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "print(device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "zkP1zVVY-ntk"
   },
   "source": [
    "## MNIST Dataset\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 629
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 10434,
     "status": "ok",
     "timestamp": 1541617163141,
     "user": {
      "displayName": "Daniel McKee",
      "photoUrl": "",
      "userId": "05833574158187352909"
     },
     "user_tz": 360
    },
    "id": "D4u7d7Fu-ntl",
    "outputId": "c70de6c1-452e-4cd8-896a-6e2653c41a59",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 128 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NOISE_DIM = 100\n",
    "batch_size = 128\n",
    "\n",
    "mnist = datasets.MNIST('./MNIST_data', train=True, download=True,\n",
    "                           transform=transforms.ToTensor())\n",
    "loader_train = DataLoader(mnist, batch_size=batch_size, drop_last=True)\n",
    "\n",
    "\n",
    "imgs = loader_train.__iter__().next()[0].view(batch_size, 784).numpy().squeeze()\n",
    "show_images(imgs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "u9juWF6H-nt4"
   },
   "source": [
    "# Discriminator and Generator\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Flatten(nn.Module):\n",
    "    def forward(self, x):\n",
    "        N, C, H, W = x.size() # read in N, C, H, W\n",
    "        return x.view(N, -1)  # \"flatten\" the C * H * W values into a single vector per image\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "g_mqk6oI-nt5"
   },
   "outputs": [],
   "source": [
    "def discriminator():\n",
    "    \"\"\"\n",
    "    Initialize and return a simple discriminator model.\n",
    "    \"\"\"\n",
    "    model = torch.nn.Sequential( Flatten(),\n",
    "                                torch.nn.Linear(784, 256), \n",
    "                                torch.nn.LeakyReLU(),\n",
    "                                torch.nn.Linear(256, 256), \n",
    "                                torch.nn.LeakyReLU(),\n",
    "                                torch.nn.Linear(256, 1)\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "id": "LF04U_Lb-nuA"
   },
   "outputs": [],
   "source": [
    "def generator(noise_dim=NOISE_DIM):\n",
    "    \"\"\"\n",
    "    Initialize and return a simple generator model.\n",
    "    \"\"\"\n",
    "    \n",
    "    model = nn.Sequential(\n",
    "        torch.nn.Linear(noise_dim, 1024),\n",
    "        torch.nn.ReLU(),\n",
    "        torch.nn.Linear(1024, 1024),\n",
    "        torch.nn.ReLU(),\n",
    "        torch.nn.Linear(1024, 784),\n",
    "        torch.nn.Tanh()\n",
    "    )\n",
    "\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "D8mGrLB_-nuD"
   },
   "source": [
    "Test to make sure the number of parameters in the generator is correct:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Train\n",
    "\n",
    "The simple model provided will train on MNIST in only a few minutes. You should expect results that resemble the following if your loss function and training loop implementations are correct:\n",
    "\n",
    "<img src=\"files/gan_samples/mnist.jpg\" width=500>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 5073
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 144776,
     "status": "ok",
     "timestamp": 1541617478896,
     "user": {
      "displayName": "Daniel McKee",
      "photoUrl": "",
      "userId": "05833574158187352909"
     },
     "user_tz": 360
    },
    "id": "uuiMgmcI-nuZ",
    "outputId": "1caa1748-6acd-4319-87b7-107778fea043",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EPOCH:  1\n",
      "Iter: 0, D: 1.384, G:0.6919\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 0.7945, G:0.7605\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  2\n",
      "Iter: 500, D: 1.206, G:1.081\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 1.451, G:1.397\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  3\n",
      "Iter: 1000, D: 0.9886, G:2.132\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.209, G:1.035\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  4\n",
      "Iter: 1500, D: 1.073, G:1.774\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.326, G:0.9868\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  5\n",
      "Iter: 2000, D: 1.278, G:1.062\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 1.213, G:0.9419\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  6\n",
      "Iter: 2500, D: 1.293, G:0.9558\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 1.269, G:0.8829\n"
     ]
    },
    {
     "data": {
      "image/png": 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d6PQHG2688caSvKOF5IfHHnvMaRaWWUgQ5xxoIjiysKH4fauttnLhL44Bq9mOgNUCdvvNb35TtrY0oHGMGzfOFeSH3R0lf12xd2FrCiNs0XmIahM6rB8i6/O2xzLvRaPZe++9JflGe5999pnTANkDTshbbrlFkiq6WWat19qu0YaNiBiEKMSwlllBqVRyEgn9/bbbbpPkA9EElQkBwBSrr766pD7GwUZkOhqeRooCSL7AZsyaEgerwbB5gWhbwG4L7dva2ly4Bvc966LJFqEKpDahAWzAPffc0wXosT8vu+wySb6cDw85XkpYE9uOdT366KPumlrvdTWd+UOtybZ4JREkrTUqGhCRgaT0RkrMrC2L99hO56sHHNve61C7KtA6tWxdkydPluSjHJ999pnT7NAqKRDg3lFCiHc9zQYP12KTf5I0jbI9Zb4aERExT6Gm6XW2YbaUzL4hiCeSwE8ccKmllnL2HcXaJD9g78GC/D3LC2iRN9k6r0Vma2trRRO2lVdeWZJvKI2ds88++0jy9hmlbY888oiLsz7++OOSvDeSQnb2RHz67LPPliQtu+yykrxm0tPTU5HsgQca+zurzaltss1n7J4lb5ufccYZkrzmcPXVV0vy5Y6h74BnAk1n++23lyTtuuuukqRDDjlEko8AFEHC/JnMe0jUgBTaUAPIa8LO84KGRo7Ahx9+6HwTPK+///3vJfmCAdJvbRpoFrvzbNvIh21479aZeqSIiIh5DpkMa0cgZE0xs7NB0ppJIckoa5o+fbrLDIEFidGSgsexaxkz8dOf/lSST3tMaxFjgZcznMhuC9ZhoG984xuSPHti03Ld3nrrLcdkfJbmXuwRxiEFEU2Ea4Ok//TTTyuS3bH9KWFMahFji92TpL5lczzlNFKzjdtBV1eXYzXsPK4V15215aXeFYG9h0sttVRJ8j4D63HNYjirVQCYlud4yJAhbt/YrFx3moGTMktDca551nObNifK7hFEho2IaCJUxbDVAJ08Lfsj9ODZ1jPEubBB8NSlTRzPQkIpXpnkGj58eElKzxLKGkeCncZnbcFByITW7ierCKnNdSL2iRc5aZSHPY89dpEmbMHrFUX/2N6cGy2A8kbuC97z0MvMftAyYOdq8muz1ipVNigbNmxYSaosa8OL//zzz6eORMEuJQOKa4u9Dnt++eWXjjEnTZpU9hPfyrnnnivJa0vE7bO+P2ikVmuKDBsRMQiQGYflW09MMq1sKAmWWdOKzkulkvs/WVKAbClaoobZR5K387JsazuCwwJWscOw8ryKUvnsWClxLEjFZ8iWIfML7zm51/zdFpiHLXhYI/fFjkupBqVSyV0DPMdoNORMw5JnnXWWJG+XssZ33nnHfZbCcPJsQT3lc1RBkY9swfptDjfx0LFjx7psONvKiL3xd7LXqPbCdzBkyBAX96YZOqBEj3tnY+fsGU2yo6OjwsdTdBhaZNiIiCZCoTisHf6EtAobNBc+oRngVCqV3HFphQmT4rXEViT+R3sRKluSjg+sdLPxrc7OzrILQO4uua9Dhw7NLYIvAuxMMrxsATnaxLXXXitJWmGFFST5Gku81jNnzkzaU9k5wlgz95A9cI2TvPh4emFqPoMXnAwv7DwwYsQIp12QIdQIb3Aa0uKwXFOeAezplpaWiucO1raaDDnu2PE0TzjnnHMcw8K+XEOGVJMHbr3D9lqHfhE7bpPzTp48OdqwERHNjkK5xEgfW9lfSx6obYXR0tLi7F0kErYKkp7hQ7xu41xJzc4ArJO2VtYBu5ClEo6wz7KRi6ClpcVJWTyHsMEJJ5wgyWc4sffvfOc7ZcewdpGU3uA9CZYVk2BHSrDmu+++u/B5+hNpbW24JjxHduRoT0+P2z/aHONe2CNdI2BcmBUmXmWVVZy9yxAwMpuI/4YtaULYaqKkqAFaJM9HGgqpxDbonuSQSSsPguJRMTlW6IJnQ7anLeojiRSU8HEM1Dse8lKp5C64nfOa5i5nj6gmSQIlr+9QEYcKa0YI8eCgTiGMKG3DoUV6JqEVyTtGEGQ8qOyx3gnsrA2nHmvmIaulULse5IXm2KNNfggFTNrkBwQm5Y0nn3yyJF9CybmXWmopF8ai+IL7wHNrE30siqTypu3RfS7xyBEREfMkqprAnjXDhfI5OufbhHSbuhiWyNkic5LqkUi8jmS36itI2ktR6WyTEUL3P8yCSobqCPOjKgGKAQhHtbW1uRJBQmMwKUF3pDPhHc5JmqBtZcLaJO8o4b1FEifCMBbXhqQNmAN2R+MhnEE7m0aA68K97O3tdeE9yiyzEkMkqb29vcRnzd8l9d1bHFBoD2h4ODi5dpybiQTMS/r888+dsxP1lUQSki6yyuhCtLS0VDzztswzTq+LiBgEqKq8DqlAgjrlRVJ6skCaw4a/d3R0VLR8ocM6di9sbQuHrd6fNRUsMPgTk//trBMSGuabbz5nS9MMDknPuZLKDSVv27S1tTnJjnZA+AaNhD3BOH/84x/LzsEeF1poodx5ruEe08rrsNGWX355l5ifB6utcJ8o7Jd8gTp9l9OQ5cizNrQ9v2UfGNY6xfi9tbXV+QjsfU7TGm3SUEtLS0XbIRI1cAjyd46dtsek59TatN3d3ZFhIyKaHYUY1hYEB6/nelCtzQrSpKiUP/fFSsMkb2BaamGaDWubaMOa48aNc8ncto0MwO6x1wdbJ5xni9RNa03D73jAsdtDac01T5tukGTDpmkBQ4YMqWq+TlFYdsnzpDMxgrlKWcjzEtt739LS4sIz+B8sG6cVB4Szl+x77L3k2ubtvVQqpXqSo5c4ImIQIZNhIyIi5i1Eho2IaCJkpiZiG1jPn20s3l+odlRD0vsOOOAASdKvf/1r3lNmG8w333wlybesYYQFe5x//vldLBmbEZsPOxzY8rrQNsSG5DOsFRsee8faw3wOm7arq8vtF9uVMjhGbCQl/4OiU/2SUOS+2/ektUqtB2k2bD0lfHMbCfkJ0YaNiGh21NTm1LxHUnEWtJ7TRrB0mgc0CVZyjRgxIjGXmBjb9OnT3f9hC7yAZADZ4ncbp/v000/d2mBKQAYOWVRBPjDrleTHdU6ZMsWdD3Zm/7DmF198UVcucS0szH21nvL+QF6b08GAyLAREYMAmQxLBklSpobUOBvWHi+NMestc5MqJdfiiy9eVuCN3ckauru7Heva9dgYqs2XDuN1trwNpkXTIFuGmDfnsm15WltbK2xpW5E0Z86cCoYdKPuOhuloH7Z9C9liTGAHoY2b93xFho2IiGgK1GXDZrUAtcD7ieQNi4xtbm7GeiRVskQ1A42t5Fp44YVLks8oIv8XW2yhhRYq3PxrxRVXlOSLn6kEmTVrlmNdjmt/pzIGlrRZMuQ2v/nmmxVZMrZg+9NPP63Lhm0EqCDaZpttJPkhYGussYak+rzVkWEjIiKaAoUYNi0fOAQSk1pW2A7P6qabbirJN1vGqzht2jRnxzEg6o477pCU3FojRBGbNq8eduTIkSWpMreZCqEPP/zQMRcsx3upZeV3PL00sKbl5zPPPFPReYN4r2VU6mLROmBpcpyHDx/uGB92QivgWr/77rsDzrC2hpUaYfZFjS21o7RCodMDVUtF0AiGTfOTpLUmHTZsmNMAqahi1CrPMsfk/rD3H/3oR5KkCy64wB2zwPjLRIatqbwuTKq2idAsnj433CA2aR00kk/IoGiYRIVqg+1JF8IG7tPCOoCidG7kJ598UlE2xeQ9kjIo/KbAmbIzBN24cePc8ehzy/xciqA5L6VqCD6+qAiQlpYWFwpCKNLrmI6FM2bMSP3CJjl0GuGQQqWn3xZ9oOh7RDE/yfcAARk2DMhbRyNVYitoANeJdZ166qlOyJx44omS/Azcgw8+WJLv64wgZ1IfX1S+0L29vbmO3KgSR0QMAlTFsFmtYq644gpJvnHaqquuKsmrDfR0tSVKHR0dOuaYYyR51oGlYd5qetymqcnB/M0yyTV27Ngyp5Ptrjdr1iwnGWFWQi+AqWX0Esaxhiq0/PLLuxYovMaxUIFhIBqr2ZRFnFOzZ892rGDnsnDs999/f8BVYlR3ut+jJcH+aeVrtaAehq1Wm+C6jxo1yq0dLYhnGm0CTeu2224rO1fSREc0P45pn/HIsBERgwCF+hIDK5U6OzudFIGZzjzzTEl+/umWW24pSY5FmbnCz0cffVS/+tWvJHk9ngnmfMYW0MMkCcXpFcxqe9Za2L/b3rKLLbaYS2pACmKHUdiOXbraaqtJ8nYndvwjjzyixx57TJJv0Ia9Q5iD0BCaCbbfNddcI6ksZOP2GBZXS8VSM/sDzz77rNOsrrrqKkly+wW12MdFnJ3VIm8dtMuBRdHMZs+e7RxntEJl8jrtd3GgLbzwwpK8pkhb1BC1FkNEho2IaCJkMizpc2nTuL788kvHinhM8WYiqZ544glJ3guHFIINRo4c6c6DRMLuxS6GSb773e9Kqpz9koWs1qySD9XYhA5+zpgxw71mPZowG9PeYEWYl9DNyiuv7Gw85sLCmDZ8gE17++23S/IeR1h1+PDh7v82jdKW+/U3sFPHjh3r1rT//vtL8tcIYN9z79BCstCf83nSgCeYRA/u5SKLLOK0o80220ySZ0kSZnbaaSdJ0n333ScpmVnrRWTYiIgmQibDwqzA6v+LLbaYC5Cj68OOu+++uyRvf8I+2LpIz1mzZjkJBVOQcMC0NIrLmSyHfVwEeYnkMBqMwE/Ya8yYMRV2sC2rs95DYqrYpc8884xLbiAeTbkc15R1kNZoEU7o5trBVrBbLSM0amnCRkNxNKKWlhanZdhCCdaN/4E12ubneY33Bgq0kKUpH8/Psssu6551Ys7EykmGueyyyyTlz8epB5FhIyKaCJkMiwS30hKbctq0aU4Coetb2ww9HxYiSwfG6erqqrBVmZxNPIsWlZyjSHmdZdY0G5aYpmVRWP/9999358NmZp3YtEhctAn2zhzRTz75xGVB7bDDDpKkxRdfXJL01FNPle2JmbdI86ShXrYZNq8h8UNgUzIaxKIa7y37Zu2hnQpTAqvRwDp4zmkKz3UPJyPOjRYvrIPp8jDthhtuKKnvfrB//DR4+G+++WZJ/nntTy0hMmxERBMhk2FtrKjIfFCkvp3LylgPYq54S1955RUnkWBfYo9I8O23316SbzJWBFbCp0ltO1IRG5u83FKpVDEtG42D9/I6XkTstZdeeklS36Aw2Be7D2bF5uf82LBcR3s958yZU3Ft0VaSygDTmBVUE7vFT3HEEUeU/X2llVZydlxY+C95Nrae7GD8p6TyCER/xF/zwDq4D8RS99xzT0l9BSloPeQHEBlJGlTWX4gMGxHRRCiU6WTtP/JgiTMmvQd7b8cdd5TkM3vIqcUT/Pbbb7vY7MSJEyX5zCGG7RL3QoIh6fHWFkHaQF/sz7BaRPKs9f777zvpi8Tn/LAGdjDxZPJpaQ+7wgoruPJCsmL4DN7SK6+8UpL3lmZ5t9F88EJz7Yn1hkirRgHV2ItoQNYr/cYbb7hrwnnQUCgrBIzkCAdU23XMjfirbRKI15t7fPLJJ7usPapzeGbwdxSJLdeLyLAREU2EzGqdtra2klRbhQU221133SXJZ7pgB1xyySWS+ip0YF9GLuLZxEaEhcgxxsOIrRjaP/yf2C22FbBVEGPGjClJXqrDcGEjb9vkDDYBm2++uSRpk002kdRn04XHevnll50tt+aaa0qSLrzwQkk+1s3rMA/jJm0svKury9mBfAa7N2gwnlqtg8ZDLWcRcFwyzdAWtt12W0l915rKpK222qrsp9W80sY9VoP+aBHDvXr88cclSeuss07Z611dXU6jAeR9E1vnOTjrrLMk+VrwWlBXAXstBc58hoeXdC1KklA9llxySadiUxBwyimnSJIOPPBASf7mozKTtnf11VdLynac2HI7eyGGDx9ekvzDj9qHSt/T01PRFQIQbqJgHQcFzjEeynHjxrl1cHOfe+45ST41kjI0kkVInqd0jy9uT0+PU9dRjW1/pK6urtzyuqR7ao9jezST/ML94gv71ltvubUQ3uGhPfrooyV55x775fdayKA/ezoRfuMa8KU877zznPnEa5huqMJ86XfddVdJ0gsvvFDzOmJ5XUTEIEAhp5NlVlsUkATLbLTLIOgMK7733nuOMWBWHFJINKQxqjOqJwybpQHkJVkgFXGGsS7U8A8++KCMbcO9wQ6osdddd50k76igDO9vf/ubY3A0i8MOO0xSZQ8k2IsECpxPYasbm4Jo2/MUQdK1SpgzK6lSk0ALufPOOyVJ55xzjlOXcbjR+gan02677SapMgkHULJG+5VwX7aDZH8CVmTdmA433HCDWw/7ttoB/coos6yHYdMQGTYioomQybBIVJLaQRazAqQPiQGwEAn8sMGTTz7pAv6UNCHpsQHTGrlhD4fhJYs8qQy7Y7/BXqxp5syZTqMgjATbkfCBBkAoA02A1MQZM2Y4VsLp9Oijj0ryjdT4DGEf1kV5Hfvo7OysKDqwIYl6wfG4V7fccoskz4rYtNjXH374oXMq0uoGpqVQwyZUAPYSMiuw2tFApCxyTfGnhGDtaAO2zI57hvO0PxAZNiKiidBv0+uwvay9Z0MjSSVhtpM/NtTee+8tyff9xYtsbczwvPwtYMXENqeEStAesCWnTJlSkczN+mA0O+uGkBC/z5kzx72HdRB8JwUO7+lvf/tbST4cRZE4LF4qlRwrIdG5htjJkydPrspLbEMtgHtGkzFSL9GawqQINAhKzOgxnVZ8UU8ztnml8z/RCqYbsCeepVpa9gTN6qKXOCKi2ZFpw+Z11g/n4gBboA4b2NheVgkSr3F+PMz8HVuSIgE8kKeccoqT7NazmNb0Cs3AzlylDGzChAmO7WAyqz2QJGJbxoQzZ+0kdQoDmJ5upwdw/SiZw4u8zDLLONsRDYRrnlb8noW2tjZ3bdJm9qDZ4Msg/si97+jocFrHGWecUXYMrg1aEnZ9NU3I8CdwjP5ALbkGXA9SQldeeWVJXtOxJYdFkHf+yLAREU2ETIbNszOSdHTLjjDeqaeeKskzDB62e+65p8KOJWEdaUMGEV5iJC7F4MT8dt999wqWyJNYeGexO20R+uTJkyuuA2yM7YeEpWQOuxSGHTNmjGMWjk9GDbYrDEz8F6863taQae3cItZjG58lwRYV9PT0uM+Rckh6Hql2eEx33nlnSd4TDHp7e9060WywZffdd19JyaV/RZHHrI2YG2wjARZhYT3PGH4OWrwCruPll19e83rSEBk2IqKJkOklHj16dEmqLM1KSrbnJ9Lu3nvvleSlHtlJSHiY+IQTTnCJ7jA23l8K18nnhBVo30EbyZNOOklSnw2Hl5cso4Rm42UUPH78+JLkM52wB2HC1tZWlw/NoCearDFFnGJ8Cg6wS/Hw3n///c6Gh43ZI9lcxJKZ4nbxxReXrR8WXHrppZ1tZEsCsb+nT59e1agOy7owNtrH1ltvLUm66KKLOKak8tgqNjfXCh9AI0ZzWNTiJU4rM8SXQHbSuuuuK8nfB7SmjTfe2F0nmHOPPfbg/JL8/aassj+S/yPDRkQ0EeqOwyKNrVcWbyfMhRcUZg2bcSO5GH6FbUZhsLVLYVRK1LCTTzvtNMewSa1H/vUzMQ6LlxOW5+f888/vvKLYppyDdeJF3WCDDSR5+5Nzh83SiZ3CXrDlTTfdJMlLfDyQeITD3OZwkJjkNQ7OV+sEdkrvqKwC3DMYlrGgXI+LL77YXS+qc/oT1TJsZ2dnrleaZ+kHP/gBx+Rc7j1prWCsFknz/HoQGTYiYhCgEMNW05rFDsfC/qRd5DnnnFP2vqRcX9aERKO96XnnnSdJOu644yT11ZlKXsJ1dHQ4SWonqrOH7u7ushMygX3ZZZeV5O05snlGjRrl/kZmE/nAZLiQF4wnF/sUb+4SSyzhNArWh21EjSnZRHiT7WiPMI+X64/NzGewqa+//voKhsVWzrp3aEs2Vg5zYP/ZRurjx493PouBaO/SiEwnfBQU3tNQgftCfXLSqBf+9swzz0jyTfNriYNboDXNnj07MmxERLOjbhu2KGApJBV23rRp05y3l3gWtaD8nTpD4oIMPeZYxOk++uij1KHT/Ozp6Um0YW3LUhAyBnYk7A3j2iZxeAe/853vSOpjWqpwyILCK4zth3TGLqTxts186urqcrYzdjFMh2394Ycf1mTDWtiqoLk1zjLPD1HLHkP/giRdeumlkrwWwShJ6mGHDRvmWhdho6LZNcITntcZxa270V/YvBSvalLAUPkaoWqAtBYxNlQRrtN22McJxc1GNX/11VclVSYgfPnlly6sgIMIddPu0QoYVOjwenEs6/zimGGBQz33kIcIlfi///u/JfVPqKYaNDL537bb4WdS18pa0hdrRXQ6RUQMAtTFsG1tbVWng+VNk6sX9vj297SuiTinkKK0sunq6nKlYxwLBxLMBtPh2EGtJSQjVYa1AOxNMgaqcForlZaWFucwYc2YBATuZ86cWRPDElqi3QuJK7REITW0lqT2NHBN+dnd3V3R9zrvHs6t8rr+RGTYiIhBgIbZsAOh3xc5R5rTKc1hseiii5YlTgAcR4sttpj7vy1Ux97BMUQBgQ2PdHZ2us+SMonDit953c4vglVIbZxvvvkqnEB8hvUUaXNKUv4tt9xSV2J+vciaMph2nyPDRkRENAUyGba1tbUkVU5tA2PGjHEBfjtXZCA9arCTVNmqM49h559//pLkS6VI0qD52RJLLOHsS5qswWSEVQgF4D3GlgwL2K3Xl9eChI7EYwKuc6lUcokSeLStHVhrauLcRJGJdWntU4rsEbsfjWZeR2TYiIhBgEyGjYiImLcQGTYioomQ2VPE2gY0FiejJ2TnvNYsRWwUW5CdZjtzriIT4W3Wzpw5c6qyf8LWILWivb19oKeJN50NWw3yvMTWbzFs2DBXiJGXBxB69qXyctCi9zDtHFke8LxYs3tfoRVERETME2h4LvHvf/97SdI+++yT+HqS9Ckq9dLWGk5XzztGLR5Gi3Aw1UCjCOMPFMP2d9ZaGtIYNu05aWtrC5lLks/aogjFZpYlZczl7bNoA8D29nanFZLLbMffRIaNiBgEyGRY8mzJAqKZdRIaKW3TjrXxxhtL8lUwSefis0Hctex1K7mINc8tb3l/sNS8bMM2Qjup5R7aKqi056MI6tUIQy0p7ViRYSMiBgEanktsM3caATJ60gqoq8mqmtcYtj8wLzJskShBUdh72NHRUQqPbVkryYad28h7ZiPDRkQMAvRbi5hqWM+2x2CMBRLTDgVm6NDVV18tyXdtGDFihMvBDbzCZeewTdjqqUiqJh48kKiXYfNsNHwa5G0vt9xyLs+aKiSbC91IFK3WSXoGG8n0RVFLlVkaw+YPY0kAN2X69Omuz5Etai76hW1ra3MPyNlnny1J+trXvibJ94jdcsstJfk2KkceeaQkP4GdideHHHJIRcAbNOLLlLaXeeWL2ijkOcBIQgB8WSXp61//uiTfl2sgvxggS5Dae5VnboWwfcmqVbOtQzT8f1J3xsRjFDpTRETEPIFCDGtVVgq1Jc+sVo3Kk9LMdH399df105/+VJL0zW9+U5Lve4t0RgUjuHzrrbdK8tPKJ02aJKmvDQuldldeeaUkadddd5WUL7nqAWV1NvxFz+GhQ4e6KQbsiUZqthywmRD2L6Zon37Oc4NZAWwVTqNIS3Pl96R5QZL0i1/8QlLfhHnm79DDmml+TPezoaowoSdcV/ianZgR58NGRAwiDHhfYhqVPfDAA5L6HEyWlZF6TIE79thjJfnZNbRkoWkYTcKefPJJV9xNIzQ7QSzPYQFTJE2IR0qTTobz69BDD5UkbbHFFmV7hG2OO+441wr1rLPOkuTZmKZrzKtBWteDgQrrwApTp051s4LGjx8vyU8j6A/khea4ttjaYaICPg6eR54l7g/3gWePKXxTpkxxzQWYYsGUOnwod9xxhyTpwQcfLFtv0Gu4Yi9pzBrDOhERgwCZNmw1HrQ8wFzrr7++JD+fRvJS5oILLpDkZ+gw+Q7mRcIhsWBeZqneeeedToLS4qVaJDErwK7Bhid0QdsRmJW/UwDx/e9/P5yZIslLeNrP4PFuBMMOFI444ghJvv2K5GfoYtcPBHi28AdYL7ZU2ZgdbQlmQzNggh+tgmhQN3z4cDddkba3PJ/bbrutJH/fn3vuOUn+ObH2apj8z/mLTpGPDBsR0USoanqd/fYvs8wyqWM0kGjYeTSlPuywwyT55telUslNtGYS++effy7JzzDhHDAsPx966CFJXqKddtppqQ24QSNbZCLZr732WkneXj7//PMl+fhkuBYalCPB0QjwLIfN1mrFQNmwPBezZ892LPLLX/5SknTwwQf312lT72Hac9ra2pqabI8/4j//8z8l+QZ65Bpcc801kvruD83gAbN2mIDHM89cnssuu0ySf57r2aPbS9VHioiImGvItGGZEscUNtgB+xAplAXsux//+MeSPJPAsPfff7/WWmutvsX8y6743ve+J8lLQ+w7pCRDmX72s59J8vNZOzs7ByS5G5sNWwl7fKONNpLkPYtJYNI3zAqI2c4ryelF8MILL0gqj3HjBZ8bSBvP0tvbG04vlOTvIfFwtCWGld1www2S/PPb09Pj8gOYA4zWaEeYMGURn0wRxDhsRMQgRCbDbr311pJ8o270e8B0cCk9q4NcYzysxK74fdFFF3VDo8gRhrmZbG1nypK9hMTDpp0xY4ZbK/ZMLfZDGtAwuA5//vOfJXnJijTOSjBnOvsuu+xS9vfbbrutYescKFB88a1vfcvFLbkW/ZlZloekLDueR7zXPDt48ikgwY+CxznpWHiaeZbZK5l4BxxwQNk5k5AwDzZ/Y4oMGxHRVMhkWKSAzXdNis8iiYhF8hnictjBTCKHCZ988kltt912kjyz4mUl64TyOhjXDm/CBn744YdTc3OtBlALwtEbks8phVlh1Kw8WmLMFmTJNBPI8ME/IXnWmRuwMc2gtW1iYzZJWmONNST5ZxpPP/6JJOYjpxj7l7gs09rDMaNpqLXCKzJsREQTITMOO3To0JLks39WWGEFSdLf//53ScnSx+rmMBu2Ax40YlWjRo1y+Zy2yoIBW7A2529UjFJKj1Nm2aFkI2HD462migivYQjyWxnziLd46tSpkrwnPK05Wa1tcPozDou2tNdee7l92Cbw/YGi95Dn6vPPP6+okT3jjDPca5K/pwcddJAkn0vM+xdYYAFX64vmt99++0nyOeM77LCDJOnNN99MXHc1LX5rKmAPu55LPhEgqRAXFdeqpCyEaeGU1WGgjx07tqIrBAHqddddV5L0pz/9qeJ8/Y0stRaVnZRIVCTr8ArXS4CehAnw0ksvSfLXOO0LOy+Ge5jUHk6EwxE3LyDJ4UiSP6o7RPKNb3xDUl/3DMmXenLdl1xyybJiB8mrvnfffbekyhnDIKuDR7XdMqNKHBHRRCiktxQpRs4rxOYYJ5xwgiSf7DB79mzHPiQc4HwiRJBXfJAkwWBpPktIphEgFfH222+XJJ177rllryOlSY54+eWXXXolewWnnnqqJK+BzMuwPYWTQjfscyDnAxfpA2zZ8eijj5bk97THHntI8oy72WabSfKldBdeeKFzrqH5Pf/885J8ggShIoskFq31+kSGjYhoIhRi2GrbvyQBSQLDvvLKK5L6yppgHdzj2LkkkudJo6T1wKz8zJpaUC0oo+Inie6rrrqqJB+Mx/lwzDHHOA3EMiyTAIti7NixLn1uoGHta0IhM2bMcKl+hNwWWWQRSZ7R+hNZzMrrvIdnheu+5JJLSpIrnaPckXuIr2Xrrbd295N7iY3Mnou2xRk6dGiqRhqbsEVEDCL0e4sY2BlPGu5zGqe1t7frtNNOk+Qn3yGpkOgEsW2wuQjT1zoftpa+yryXYDxJ4rfccotjIwv2BiPZKWZJoGnd8ccfn/h6GBIYOXJkSWpsiiY46qijJElnnnmm+xte8KTQVqOQ1yKmmikUpLWi+eAdxuOP53fvvfd2x4UdaYtDOActrog/AlvZaktpUxZBZNiIiCZCJsNayWUnpG+55Zau4ZRlO8qVkFzE7Cirw1a48MILXUCakiZKtEjXQ1rTurQaG5o4JyVws2fPblgBex4ofJgyZUpFO03bsoTrZVGkTU9W1/j+3N9Xv/pVSX1aE2xGu5S77rqrpmOussoqzp5MQz2d/9PeA0jSQSMhXvvaa6/puuuuk+Qb56EVkW5KiWQtPh7Oi4YVGTYiYhCgKhvW2gY9PT1lYzsk316UFEQ8a+j3pPGdfvrpkvpsBeJZJPfTIJxYLR49WnHY9VQTy2pki5g8sL7x48c7jzetUHmNbJnFF1+c9ZW9XmRvzCKiVc5AMSwF7NjskvSb3/xGktfCbKuYeuKzafadnV7XSPCst7e3O43pxBNPlOSzoxgl88Ybb6jWdWBLw7CxRUxExCBAJsMusMACJal8NIfkh1W9+OKLzguMJIJxYUf0fTKPeB/esVNOOcUVrsPKlC3BGCRi1+LpTCgUHjCGDYH9j61CfBL756STTpLkbXxaaNaCahh2zJgxFeWKRYHd/d5777k4LJoUGkMeGqkl2WOFOe9FYrV54LmkJeqee+4pyedP33fffZL8daGVUpFjF51eFxk2IqKJkJnpZJkViYUXr6Ojw3kvibMSh6NtJHEtCtiJTcK4//jHP1wci+ynJ598UpL3uhXNsx0+fLh7b1haVQR5M1HrBcclP/rxxx+X5NvNwFB41ZdffnlJvpSxv1Aru0qeRcNmfGgIaBLk12aUkdV8fgs7arTIvbTnT5sBHOYj096UZwtbnmeO89v1JLF5ta10IsNGRDQRCnmJyfogZhhKLiQEsVTib0ifNO9nWFDM8Yhzwc52kFU9CKTdXLFhAZkzjDHEw/jtb39bkm+VinfdDlYKBzulIcmG7Q8Ngmv6zjvvOHbhWTnnnHMk9WV5SdLTTz/dsPOm2bD4CfBbhMxWK5OHkREaKNDSiIgIFUo8v7Z4n0hA+OyntWQNRrpEGzYiotlRVRzWeoR7enoqmBMbDKmDfYOUOfnkkyX5BmY77LCDJkyYIKl26U8Ttueff77CK4xHm24Zs2bNmisMy/XZZpttJHkNhGwZsrwSJG3V5xqoOCx2d2trq4tBsl721R8o6iUOf692sJu1LVdeeWXHnOutt54k3wmFZ418Ac4ftt8N/551vqDheSLD1pX839nZmTp1GscRqV04nWjRcf3111dswq4la1ZrrZhbYR2cMUw1uOiiiyT5IDt9gjApslRYHHZpzrgiX1jCagsuuGBDHD/MBLItcPoDeSqx7SdWpEOhFfQ8e3yBuru7Xad/ElUwaxC+mDt2ciLCInyOrYPKlq7GsE5ExCBATQyL1FlsscVcgH+nnXaS5FU7ku5XX311Sb5QmDYwWVLPqjZZHQwtLrnkEkneccVnBjJxImmKGvvHKbPSSitJku69996ydQYStubzD5RK3EjY9jNZqPYetrW1uesapDdKSn+2cKLSE/uzzz5zjEpbHxJ60IpIK+RYtmg+C1ajigwbETEIUIhhbYI/duiXX37pWlxayZVmg/F3O01M8lI2b8Yrx4CtsOVWX311l9SRJtVs4niedA7DTo0ENh8air1+9aAZGbYapBWwW0dRGF6xrFdUg8Ff0N7e7o6B3cnsYxysdh5P2rnCMFOaoyyW10VEDAIUYtgsjyWvWbd5niQLJUva5GyLPFs2iw35bFqLmGrs5EagP1MhizBsyEbzYpPyLOR5ie09DCew5zGbvRZFnv20Z91+ttbpDWXHzP1kRETEPINMho2IiJi3EBk2IqKJkFleNxAxyv7ywqYhzf6px6asJobYHyDNk4KBIjZsaO81cqwGqae0UUlDls+AgpG0Iv5q47BZXtk0JI0lKXp9GnE9ow0bETEIUFcucZLUobmyzaccaNjxH6CodA693vVkXjUKAzkflmFPjRgdSYEA8fq0saQhbPG7RSPanNq2orbY3KKIJlhUSwuPVe182MiwERFNhH4f1TGvYW5V61j05zjGauKwX/nKVxz7FRkTUhRpzJFX5hZmFKVdo1ruYSOvt82o6u97GCIybEREEyEybD/ukfrIrq6u3GyuvNcZi0GheBaqsWGT/BBF2Si0T/Pst7xjUuy99tpr6+GHH848hs2ztSNlLAY6EtEIRIaNiBgEiAxbwx7z2BC2oVXpxx9/rD322EOSZxLGWzC6hA4HeNlpykYckJEXHR0dqR7WoMOC2yPN4KkOyho0VY+dZ68Jtip1pYy5uOmmmyR5D3uSpz3PCz+3/BBFr4/VNmiXM23atMLnSmPYQhPYLfLc7lL/JrfjgidEwI2dNWtWw5wLSX2N7bHpnnf77bdL8g/pBhtsIMl/yXbccUd3PQDXhdJAVF6+2AceeKAkPw2BDn0bbLCBbrvttrJjUBw/ZcqUin1QEsnPpNmpXMes/rl54IvKZ/nSXXzxxZL8JIirr766bF/PPPOMJH+de3t7K45Vb8fDIr2UipyDe8hsVxxnn376qST/XLJ+O2OWNkHTp093gpvPFkVUiSMimghzTSWmhcvmm2+urbfeWpKXWFtttZUkzz5IYaQhvXuZG0vDt7fffruqnr3/OmbhPVK4zzromwzDI4Fh2Mcee6zs/ZJnOlRgpDF7pw0Jai+TAsKuiszW5TOozUjrcI9jxowphee1c2eSNKB6mA32YVbQVVddJckzLJMOuLcUgVfTMqie1MRqwbN37bXX6vDDD5fkk3EWWmghST4Nk+cApxnPC1MXb731VknS/fff7zQ4tCLuQ1orIxAZNiKiiVBTX+IidikzdZ544glJ0t577y1J+vnPfy7JzyN59913XUMyOquHUwGkvrCIJB100EGSvOOEhm5FZ+9I9TGstfW4dtiu1157rSRv/zIL9qOPPnKsS9tXJp1hs9IpHwmL3cPcoUceeURS9U3K2tvbS+Fx+wvYrNjizPzFrrPPDrOA0RySYBv3pTGsDetU24NY8s8cjdXQSNZff31J0uGHH+7uP1oEe4JZ2etTTz0lydvlMOzrr7/uzpVnp0eGjYgYBOg3Gxbpc+GFF0ryDbSRQsx+HT16tGNOGl7RWvKvf/2rJM+gp512miTpggsukOTndVYzg8dKrrzp3ePGjauYjZLW8Bw7DYbFFl966aVdl3j7Wa4HEh0p/t3vfleSn01TDapJnNhss8300EMPVX2OEO3t7Y4xaAG62mqrSZI22WQTSV5joA3tIYccUvj4XN9gtlNV97AIYOWlllpKktd89t13X0l9XnqeQ1v2R/iOJuo0LTz00EMl+eeT69zW1lbR1tYiMmxExCBATXHYasBsm+OPP16Stwn+4z/+Q1J2LHfnnXeWJP3hD3+QJJ1xxhmSfHpeLexjkSeVp06dmtugi2NgZ8KaAJsmBHFQtAQkPGWJtM5sdCmfjS9Xw64wHdcBG7G7u9tdC5pqH3bYYZK8xoBn9dhjj616zXmjWuq5Ntxb5hZzvUk0wVu/5ZZb6i9/+Yskvxf2vOqqq0qSbrzxRknex0KyyDXXXFN2zt7e3pq91pFhIyKaCA23YbHbSAwnxQ5boIjnDk8j08enTp0qyWf72Pmb1aCol5j1z5w5M3fNMA9eYjQCNIDQQ8vaGQ7G9Zk0aZIkX+JGOlsQl8vbmkO4x4kTJ5bCtYCirWWTkKRxoEHRIsa+58UXX5QkrbnmmhWfLXqetOT/Wtr8sH+OTcODTTfdVJLXeIjDvvPOOxVF52Qrce9ee+01SX6aIhGReicQhogMGxHRRGiYDXvcccdJ8sns//znPyV5qVhNTAwvG7YJCfHYsAMBirqLAAlKEzSbkxvOSt12220l+Xm1jJlE4jMrtxa7DHsxBNk1FrUwa1guaIFGYou78ejDwHnjV0J2rNbOqyYfmPNwzWBWvPVEBniOk9ZFph0+CrSnSy+9VFIls9aj1bj11/zJiIiIAUddDDt8+HAXmyJjBe8vNsErr7xS9XF/97vfSfI5mbTxJD91IFCNPYQNS/YW8Vhs7quvvtrFI4nhYZ/znj333FNSttc8DbBaUtldHuu0tbUVlvhJzCr12XI//vGPJXnNALbBFszLRiuS01wgT7zs9yzW5rqjzeGdZ70MvE5aD7YrrPzHP/5Rkr93adepEdlmkWEjIpoINXmJQ1sGJkU///jjjyV5O2633XYr+8x1112XdJ6y3/GyUsVDpsiKK64oqVIa1zNkqBG5tuydWB4xVP7OzxBIYTyLeId/8IMfSMouNM9Do8dNkv8Mg1BhQn3npEmTdO6555Z9BnuePPFqfBiAhuLYkUWrdYo8D/gKsGHJsvvJT34iyWcpYdOOGDHC5cO//fbbkqS99tpLks/iw2blMxaNGIZVd1gHlYIEbb7AwYkl+bIqDHVUp46OjoribsrEUE84hnXF14L+7FaAUFpvvfUk+UTyMFkAYUPpFWo012fDDTeUlK5WFUE1X9ghQ4bkJiYArj8NDFDzb7zxxgr1k9IzBHg1yHuw67mHFBSQeojJRrknAoYkCJ7Fzz//3BEHhRxnnnmmpL65xJL0+OOPS/IOq3oQwzoREYMAdYd1UCVJOXzppZfKXkdaYuSjLsDIV111lSsMRnID1CikdF539kailhY3qESoubBma2urdtppJ0k+KQS1mTRLEigoxif4Xo02kaR656HItbRtX7iHMEqoIVHIUU+PY/ZsZwbVA64Nzx1mF2E2Ck1gWBJb0JqOOOIIp/3QGgi2PuqooyQ1pq+zNQ8tIsNGRDQR6rZhbXL6q6++KklaZpllJHlWtOll2GgdHR2usBe2xslBKOCHP/yhJOnyyy/PXEtnZ2duGtjc6rhH0TNdBHF2ED4g/TIscpaqY/ik1L28/RUJ69iGAmuvvbYk6emnn654L6yIBlEL+tOGBfhH9ttvP0l9ZYaSf24J3Rx55JGS+joeXnTRRZK8ExStkuR/nGN5SS9ZfZKTOl+WvZ69rYiIiHkJNdmwoQS00gQbgKRpUtZgYpiG5IKtttrKeRSRagAWQoLlYfbs2TWnf6VJ9UbNBYVJ77nnHkm+zI0WOuydwm/s9yyGbUQr2SLXyTZuO//88yveQ/iuHma156u3zWnWs8D1veOOOyT55xMPL2E1ru2ECRNccgshLF5Da7r55psLraue+xUZNiKiiTBgbU5hEDxp4VyWjTfeWJK3H0iexnO3zjrrSGrMlLBq7Z8suxgJjnSuxntNAgktS/GEnnfeeZJ8cUAtHvGkOKy9/iCcFpcHPNysLWR4GugVmf2ThCw25Ty8p7u7u1DiRIi0Z8d6wCnUgGnDebb77LOPJLmoBk3Sf/3rX0uqLTkE2LnKMQ4bETEIME/M1kGCMneFONeOO+4oqb5WMHmSa6WVVipJPnYKkLitra0VDbNgVux1srueffZZzlH2M2y6hcSmyTitWvC8Tpw4UZJcO5JaJtlnZTqRpZPUtiYNsBApiaQM8vennnrKxSjrRZLPwNrqeW1OGzm/NfSQ8yxh3+LZpwiglntltYfYSDwiYhCh35uwFQES8IADDpDks0xowsawKezeaiRZ3nvTbC6acL3//vsuIZzcUTzdd999t6S+Bl2SL7MjmwYbfOLEiU6CnnLKKZJ8czqYnFJCJpwV2SMx7mpakFTDrHYKH3njaUPBaoH15IZsiOZC07M05HmVszz9aZ5ke6ze3l5tv/32knyLXvwQePyJBFTD6GgNeRlOIDJsREQToZAN26gRjhnnkeRjeHhOYR3aRGLjVjOaw6JaL/Ho0aOdFxt2pJKDxmLYnYzmgDVhwDfeeMOtGVuV12hFQ/wVhk1rVr7wwgs7Bi8y5mHUqFElybPUlVdeKUnO41kkJmi94Njj5HhvsskmznOcBtZKW1dbggabh3ux+8LTPWPGjMR7mMaWHR0dzoOb9yzbzDxy4EeNGqXf/va3knzFGfefPHE7wqUeRBs2ImIQoJANW8+QoSLABmBEBxIdxn3wwQcl+RpSJCltVorA1txasDekM8wzffp0V3VDLjN1rsccc4wk39qTODI5ply3NdZYo8JzTN7pcsstJ8nbodaW4XekdziWxEpyrk8ImJVrRhF2EjgXLAOj4VPArqaqCht92LBhqS1JrZ0Ns2L33nnnnZKSmd62s82rhuFcfI73h88rzwE+CtZJ6x6eA35yTXfccUen5TB2hTE0RVvYFAFZf2mIDBsR0USY63HYjo4OJ+XoAsAoRrxwjK4ESLp6s4CkYsOAwf777y/JswVxyeuvv16Sr0AiE4YRkqNGjXLxT+K92EYwZl71RijFWRM/yQyjWXu4x5EjR5akSvszC7RLId6IRoH2gaeZTJ/JkydXtFMt0vxNKoutpr6XFixoOEXvYcj6dqAW7WXpKEG1DtebemRs8y222MLlCqNZoB00gmGtRvLFF1/0T4uYRoB0MDrnk0hODyEeIJwcrBm1hqlhUn5CfC2lWWmOClTD8ePHS/LF+xQ908Wwvb29Yh5Nfznw/nXsisQJEjbsxL+sVEAeckrQcFghQNnve++958wZHIaAe4egqCYEFaYF/msvktI7/9cC1GdmAbFH2vqcfvrpkvocncy0xRlqHW2NvKfR6RQRMQjQbwyb5WIP0dvb6xwjGNy0S2ESGul7tYSXEnrbZqa1WWQlx8NWqFXhZ6Ry9bM/QmO2sDwpra2tra0kFQvf2ESFRpTvWdCgzha/49i6//77U00dGqWde+65hRg2dDSyB3tvSIIh6YHkHArx0fKmTp2qK664QpI33TbaaCO35hC1zA2yUxUiw0ZEDAaUSqXUf5JK/fWvtbW11NraWho7dmzFa7vssktpl112KbW0tJT+JT0b9q+ePbLm9vb20r/6Gc+T/7L219bWVmpraytNmjSpNGnSpMTP98d1t8dOu4Znn3127jrS7iH3hz1yjvnmm6/q9fH7hAkTShMmTCh1dHSURo0aVRo1apQ7z4gRI0ojRoxoyPWwv6d9JyPDRkQ0EeYJL/FAIs1LTBd72/i6paXFhWBIG0xDI+zURtiNSV7itDKuWmCnuIfHrXbv1XwurUFZkdCcPX4jJsllnU+q7zmINmxExCBAJsNGRETMW4gMGxHRRIhf2IiIJkL8wkZENBHiFzYiookQv7AREU2E+IWNiGgi/D+/QU72sz98sAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  7\n",
      "Iter: 3000, D: 1.192, G:0.8541\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 1.235, G:1.021\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  8\n",
      "Iter: 3500, D: 1.255, G:0.8952\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  9\n",
      "Iter: 3750, D: 1.284, G:0.8431\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 4000, D: 1.354, G:0.9386\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  10\n",
      "Iter: 4250, D: 1.306, G:0.8394\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 4500, D: 1.334, G:0.7893\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# original GAN\n",
    "D = discriminator().to(device)\n",
    "G = generator().to(device)\n",
    "\n",
    "D_optimizer = torch.optim.Adam(D.parameters(), lr=1e-3, betas = (0.5, 0.999))\n",
    "G_optimizer = torch.optim.Adam(G.parameters(), lr=1e-3, betas = (0.5, 0.999))\n",
    "\n",
    "train(D, G, D_optimizer, G_optimizer, discriminator_loss, generator_loss, train_loader=loader_train, num_epochs=10, device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 5073
    },
    "colab_type": "code",
    "executionInfo": {
     "elapsed": 131180,
     "status": "ok",
     "timestamp": 1541618197938,
     "user": {
      "displayName": "Daniel McKee",
      "photoUrl": "",
      "userId": "05833574158187352909"
     },
     "user_tz": 360
    },
    "id": "MGFABLgO-nuk",
    "outputId": "9b6103c8-9d6f-4700-8790-d42bfcfaf915",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EPOCH:  1\n",
      "Iter: 0, D: 0.5289, G:0.4614\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 0.09014, G:0.4054\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  2\n",
      "Iter: 500, D: 0.1598, G:0.2953\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 0.1556, G:0.7765\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  3\n",
      "Iter: 1000, D: 0.1838, G:0.2509\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 0.2123, G:0.2407\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  4\n",
      "Iter: 1500, D: 0.2401, G:0.249\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 0.2011, G:0.2051\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  5\n",
      "Iter: 2000, D: 0.2092, G:0.1817\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 0.1932, G:0.1866\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  6\n",
      "Iter: 2500, D: 0.232, G:0.1934\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 0.2396, G:0.1921\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  7\n",
      "Iter: 3000, D: 0.2093, G:0.1631\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 0.2023, G:0.1768\n"
     ]
    },
    {
     "data": {
      "image/png": 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Zyac+chg8w3p4VAA8w1b4HCt9fgDV1dWJv/6e97kUZKGAlWJYMUp4hvXwqABkZFgPD4/WBc+wHh5lhIzpdX8H/afc5piuy7yLv5sO29rnWIj12uuwHh4VAG8lrvA5Vvr84O8xR8EzrIdHGSG2Vh2FIMokbo+WgTqvK65XUT9qXar2FooWiqOdRSXDM6yHRxmhVTBsFLGXHqVDOklIEUNffPEFAIssskja7yrRvX///gBceOGFgF/7XOEZ1sOjjFAyK7HbwkG7dG1trfErqiFujx49AFuYWW0gokBLWBiXX35501RJ5UuV+XHssccCtkRJFCiVlTjYqlHlW7Wu+iyO4u/5rmHnzp1TqkXki5qampJKAa2mRIz6tu65555Ac3mNVVddFbDdrvWCqratqt9ts802APzyyy9J51Tvm9dff9101A6r6B/lCxtWp1civvrpzJw5M2u9Wb2wqjEkFGKIK7Vb5/fffzf9btUPVhuUktyjRCk33eB9nzhxIgDrrrtuXJcz8G4dD48KQOxGJ1XRU7/NSZMmAbbe68yZMw3DbrfddoDtH6N6v4cddljzYP/qZSPxS64D9Vjt3LlzSXvPuMwqQ8t3330H2PFmY1eAXXfdFbBzP/TQQwHboT2KpOyooa7lxxxzjKn8L3eNKymUK7QeJ5xwgikJoyJ0n376acnH4xnWw6OMEJsO61Zfl7FFep96ygwePJgXXngh6buq76sK+4888ggA//73vwH45ptvALvDC9XV1ea7up5b/T0O/UdzVS9XdY7XvQ0yrOay++676/pJx6rjnbrXFYK4dVjpdUGDkoyJMi7GYWwSSqHDDhs2DLC6+MiRI41tYvr06QD06dMn6ssaeB3Ww6MCEBvDdu/eHbAFmaWTaefdZ599AHjggQdCzyHrr6xzSy65JGCryssSLHN7u3btsrpH4qj8r3uoPrIbbrghYFmnsbGRvn37Jn1H0oF0VFkexdbSfzP1hwlD3AyrPjqyT0hq+ut6UV8uBVGu4cMPPwyk9u3Vmmo+c+fONfNU7+Orrrqq0MtmhWdYD48KQGwMq91IFlNZDcUc8lFm6vglHXbHHXcErA+3vr4egDvuuAOwDNu1a1ejG4fNKw79R3qnWFTBENqB+/bta7q3S/+Wnqs+Lfo9igSIuBhWko3WJYhSMKsQxxpK95ZVWPqqbCH19fUmoEfHSAKcMGFCsZdPgWdYD48KQOwMK51S1xHDLLvsskDmoG/pFYqiGTJkCGBDGBVFU2gUEBQ3xxEjRgBw1FFHAVYvTcdAJ554ItDc8gGsv1I6q4uoGilFybC67yquLVx66aWceuqpUV0mK1oivDTdOqTzAkR4Pc+wHh7ljtgYVgwhK6drHR0/fjzQHOHjRgyJnWV1lU9SXbJlfVXcaj6IcneWHi49XSx6zTXX5HwO6UPyH4dBTZoUMZYJcTFsOv9rut/BSj+SsHLpih4GeQd0n1uCYWfMmGGaYQlaszii6zzDenhUAGJjWFnZFAMrhn3qqacAGDNmDAA77bQTRx55JAB77LEHAMsttxwAw4cPB2xZkYMPPhiAAQMGALbDeT4oZneWdVrWQpVDmTVrVs7Xl6VV0oHu/yGHHALAvffeC9jGwoq9DssMSoe4GFZ+bzFLJsuw5qWfam692WabAbDxxhsDGOv5XnvtBcBjjz2WlYVLybCaYzo7SSmjuQTPsB4eZYTYGFbFkw866CAALrroIsDG0p5++ukATJs2zeikak8v/6rY5bbbbgPgtddeAyxLSS/KJ/k7it1Z0kNY20HtxjouiDlz5gCWMXUO6efy5Z5//vmA9ekOHjwYgCuvvDLr+KJmWElHGquYRRb/Xr16cf311wPwr3/9C0iOfvprTEnflV9e+p/uS4cOHbIyVykZdtCgQUAz87toCYaN7YV1AyR69eoF2Im/9dZbQHOHa3Xv1sOoG3HEEUcA9sXUi60XQiGACu/LpSJAFIutLuPalJQ0Lyd7LlAqnsRMicSjRo0CrCtLYZlap759+2Z1+RT7wroPosTwcePGAVYlCR4nMVZr5YrEYZuY1kx/P/bYY00aWxhai1vHi8QeHh4ZEVsCuwwyKueyxhprAFYUUokYgJ9//hloFo/Bsox2NbfcS9euXQF49913gdLVMVaS+VZbbQXA+uuvD+THrIJb5kY1ns444wwALrjgAsDeg2ACe9wdB9dbbz0APv74Y8BKS2JWra3w3nvvGYbUscLMmTMBG1bqqhH6nqSnUaNGMXr0aAB22WWXCGZTWfAM6+FRRoicYSXXyzAkp/eUKVMAW94lHZQQrF33+OOPB5pD34JQgH8cIWGZ8PTTTwMwdOhQAM4++2wgGl1GupxYTdDcldJVCkhyCWNyVzqoqakx90AMqsRvBXyoJFAYFHzfuXPnVsWsme67JD09j6WAZ1gPjzJC7KGJ0mnkGL/zzjtTjtMYbr31VsAmu99+++2ALQ0jFlpllVUAm0gd5l5JhygsjAqVVJX7YiCJ49VXXwVgzTXXTPpcIX756MlRuXVk4b/hhhsAG9gipEsF3HvvvQFMUTZZj7VWkrjCkIu0UkorsVh02rRpKeGj3krs4eGREbHpsGIK6TsKQZODPFjwWz5Z7eDyq7700kuA9e2JYT/55BPAWpzzYdhC4Aauaw5ugHsh2G233YBUZhVksVUp11JA6XNKpwtDOuu8StLec889gJ1XFMzaEpB+2qlTp1bRVdEzrIdHGSE2HVahdtqVxLBqxyHrYX19vQnDU/rSwIEDARu2poBxRRZJHyo2uRsKm6MS1GfPng0UxvBhyeCCpIlXXnkFgK233jrncxerwxZTAG7LLbcErHQUBp3bDWHMBS0R6TRnzpyU4uheh/Xw8MiIgnRY7cCZmEU7qPQ8lTsVi4pxJ0+ezDrrrAPAOeecA8CZZ54J2FhhWefUGqGl+sl26dIFsLqzfM2C7kumcSkBXTqeC31Xx0lfLyW0rmI/xU7nUtxczOomuytO/KSTTop2sCVCx44dU3TYXN6DqOEZ1sOjjBC7H1bJ3tI/xRzS/2bPnm1S72RRVlGzxx9/HMBk8+y0006AbYJVCKLQf7LpzmJJ7cCdOnXKuT+p5iY2LwRR+WFzLQSXSCSMv1JSh4rsqQRslGgJHXb27NkpUXoqgq+i+FHC67AeHhWA2Bs6K0ZUrHPzzTcDNhOjsbHR5Ia6rS+kM7ilQAspAapz//nnn3ntznV1dSbKSNd1E7qjgFqbqNBYMSh1Q+dSIxvDXn755UC0+vLw4cP5z3/+o+sDsMMOOwC23FGU8Azr4VEBiJ1hpcfJEqzKCgceeKD53I1JVU7o2LFjAdvGUaViikGU+o906ieffDLn76jMjZpXKy/4rrvuKnQYKfi7M2xcUOUNSXyyMxRjUwlDGMPG3oFdYqNStnbeeWfAipUTJkwwQRQSBxWY8MEHHyT9bG1QBUjXga65SR3I1D8oyhfVI1647jzXfRfWCS9KeJHYw6OMELtInAsUCKEdTOVC4kBLiVPqparu3XHCi8TlD2908vCoAOTEsFH0LI0T+bh5wnbn1j7HfOAZtvzhGdbDowKQk5W4tbNOFGU/W/scPTzAM6yHR1khow7r4eHRuuAZ1sOjjJBRh+3evXsCSEkNU0L5b7/9ZqI9FKalFDmFJCqoXel00hUVBVRVVWW6srslSXSsmxSgotS6tvy2Cy+8sGnroe/onPL1zp8//29lYWyt8yskgUOIwkqczSsQZ5GE6urqrDYTbyX28KgAZNRha2trk3yUKvcixnUbH4FlXzGdu0O5fUIXWWQRUzbULZatUqgqxuZeQ8HYKjParl07U/xN11WgtgK0802vK0fkwrBx+52XWmopAL799tvIz50rw7otMMsJnmE9PCoAOTGs2Mrtnl1XV5eis2rHFtOJBQUlrj/77LNAczaPinupfIzY2T2Hxip20HiCjZh0rqlTpyZdV4Ws6+vrPcOWOXykk4eHR1kgI8O2b98+AZbppGsKTU1NphSmWM8tpyJrm/4udg7qpbL6ytrrlogRXL1Lv2sMPXv2NG0O1113XQDeeecdwOoxDQ0Nf6vduVTzK2Usdr4M26FDB/OMyFvR0tB4XAlU8Azr4VEByMiwbdq0SQAcccQRAIwcObL5S3+x57BhwzjvvPMAa9GVZU56r5hVVSS+//57IJkddUw2n5yY3vXX6ntt2rQx13XPJR173rx5aXdnNeJ65JFHMo6hHJCOYeNkwLq6OrMmbgFxSVjudYsZR0vpsP369QNg/PjxgJUSdW87d+4M5NcaNAxhDJvxhe3SpUsCrCismy/3zo477mgecFG8zueeVwuoyah0TCKRMMeqtq0CKXQdiQ06h15cHS+D0g8//GDq4b7//vuADdxQBX3v1okevXv35uuvvwbsM6JKmLNmzQJgxRVXBGxndhkWBdWvrq+vzxpUke2F3XbbbQF4/vnnC5oPwNChQwHbsSITpG6pj/GoUaMKvq7gRWIPjwpARoZt165dAlLdKWK2X3/91YQYigV1jKvcu+GFMj79/vvvQXEVsAyqnVYs6fayEfMvscQSQLOzfsqUKYDd9SSK6+8LFixoUYZVfyAxTmAcSb+7PWnzQdwMq/V5+eWXgWbpSt0aVGwvcH3AMq8kq7DQv5qamqzhgHGKxKrYecEFF7jXTOno4OLUU08F4JJLLgFsb9lu3brlPQ7PsB4eFYC8SsToWO2OPXr0MIq3Qv9WWWUVwOoqMkbpHO5x//vf/8z1dIxCDbWjqUu5jlVBM+mlwVBJnV9jlK6kXXHu3LklY1jp1t999x319fWAlRZ0L9Vt/osvvgBg3LhxAOy///4AbLLJJnlfNy6GFVvKZTZixAigWVpaY401AHufZdOQFCSDjBhWa6xzBo1Vbviq+4zGybBxpJtqbnom08HtReQZ1sOjApAxvc7dEcSAQavskCFDALj//vvN38Cyolhy7733BuDiiy8GbIe6q6++2rhUJk2aBNjgfjGqAiq0e2vXlotI5vZx48aZND8dI11Q5ywFjj76aMAWEB8xYoRhGEHssf766wOWkVSEWkxcTBpaXBgwYABg9dUDDzwwKTw0+FMSlrwDrtstDXum/X/cUFhspoQBl/llc9HauQE9gvt7OuTa5c8zrIdHGSEjw2onkaVV+qF2lk033ZRbb7016W+SxdU5rE+fPoDdsdQn9vbbbwfg8MMPN9ZfsbKu989//hNo9vcCHHDAAYDdjbRrf/TRR0Cz31Y7u9hYO6aSFOKAEg4kCay66qqA7b3z1VdfsdpqqyUdo05o0lknTpwIWMlAc24NrTwkaemnxqg+SbfccotZX91/SRQ69rrrrgOsZFWMFTwO9O7dO+sxeh/UJ1Zhr3rG9YxJAhWiLIzvGdbDo4yQkWElk8unqk7oiiLq3Lmz2W10jPRR7Vjy2elcil7q378/0MzML730EmCZUrrsrrvuClj22X777QEMW91yyy2A1YvmzJmTknLnRmdFAddnKou4krUXW2wxwHbd69atGy+88ELSWGfOnAmk7r6ygF922WVA62DYDTfcELAd98466yzA2ivWWWedlCB2SWPy01966aWA1edWXnllwK51FCgk/FJrlw319fVmbSQVaA7S08PasOgeSOorpq+wZ1gPjzJCRoYVewryGQoTJ040eqesxGJhMauYV7uS/I2y5j766KN8/PHHAPTq1QuwTCtdVXGq8rdq91aPWSUgVFdXpyQhiGF1vSgQZtkU8zzxxBOAZdEgJHlIz3Gjt/S75tYaIElG9gdJGNLZNt10U/M3NwpIz8Pw4cMBawVX3O2JJ54IRKPLFpJQ8NBDDwFwwgknpP1cXdZfe+210DHK16+IuzDrtr7/66+/pjyPkg7URzkMnmE9PMoIGRlWsrb0P+2eYs/ddtvNsMnrr78OWAYVS6600kqA3V2U3bPccssBzdZi7VCuDrDVVlsBlllV9kUWRlkgtbt37drVMJTGqkgst5BbIdC8ZZ2WTiN/69tvvw2kZ1ZBOpvYQON68MEHix5f1NB9Vdyz9G35iNNZPwMRZQDccccdgNXntZbSh4vR54qBGC2MWTUulTJaccUV+eyzz4q65qBBg4BmCUxFG/Ts6HmQfSh03EWNwMPDo6TIyLBuBo6YdssttwTg2muvNT7I4447DrD5g2KfadOmATB27FgAo68+/vjjzQNo04bVV18dsLppz549AbsL6xzSacWs119/PWB3pzlz5qRk/ghRlLp0E5NdiUA7sJj2/PPPB5ozhZQX6kI7bRzlQIuFbAq6/8OGDQOsXSBdFJYkBn1Hlv3HHnsMgC222AKwEW+KKddzAdaqGqX/Us+U7nO2jCBXF8+FXddcc82Mnx988MEAjB492jBrvsgY/N+xY8ekD/XABg05o0ePBuDhhx/WdwDYeeedARte+NxzzwHWCKUXqF+/fiaIX5n8AwcOBKwCrvA9GWICFRAB+OCDD8wY3Yr/gsTZOGo66cGVyHPMMccAzUEh0By6Fnwgg3jttdcA+yBHgaiC/w866CAAbr75ZsCKhzIw3nPPPUDz8+DW/VJ4pkL+JBprg9JzomTvQw89VGPPOq5igv+1Vm4lUBd6xhT+mgukjinwx4WbRBOEVEiRlw/+9/CoAGRk2IUWWigpvU5lP1TCpa6uzoijUt4feOABwJb8kJFFIqrEXLHn2LFjDbNq99U55ALRrn3aaacBVlS75pprALuj/fjjjynJ9vpMzN7Y2FjyBPaffvrJBFO4kOgVZQ+X4O6s2tL5uE0CFSaBVBbSPZZLZO+99zbHSFJQMIz+7gbAuyln+QQ9hDGsgkyUmpjlHBk/z2dddEy2IP8rr7wSsK6sLOPzDOvhUe7IaHRSkrHKuWywwQYAvPjii0AzaykUUXroN998A1jlXju7fspcriCMTz/91FxHSruOkfFBuvOiiy4K2EBy6UFBBd5N25KxpyXT0xZffPGU6yvoII7uaEG4zJopXU/r7Op3Yg63vItSJoMMrGfDTc10vyujpOsqKwQaXy7MuvHGG2f8XFJDPuuSS/ocwMknn5zyt3zDFT3DeniUEXIKnJCzW0EP2p179eplrMPaZeRkl6Ncn0tnVTE07WD19fVGZ9IuKyZXAIKu7ya4i5ndmriQunOpm1opIeZRGF4QkhZKjUyShnRWuepkdzjllFMAW1wsXRGyYG3oILQ2+rvWVKGKSplMh1zZJ0zvlc0lmFqZTUeW5OdKIkOGDDFF1oLPfz5wn3PIP3DEM6yHRxkho5W4pqYmAXan07Fih99//z2l347KZUhXkeVX+s7dd98N2IDpuXPnmlC3p556CrC+KLGwUs3kD5RvT9cK6mnuTu+m982ZM6dkVmLdpyeffNLoTq4VOw4U64cVu8jSL1acMGECYKUVzW/OnDkmqEbrriAXsZCs9PKx61zZesykQ65+WEl7waAHPQ+SzgS3NIzWR6mdM2bMMAUJ3FIx2SC/9b777pvT8X9dw1uJPTzKHTkVEpec7VoN27ZtaxjWPY+rZ2pn07nEnrW1taYwufQH/a5jlCggy7Orh2hXnDdvXor/zC1FUspWHYpeUcL9X9eL63IGUUU6hVlwxaLyx//0008msk2fffjhh0m/i0mDLVoKRRSRTmG6rMalcapYevv27U28wLHHHgtkl5JUgEHRgMK6665rzhUGz7AeHhWAvIL/Xb/nn3/+GbpTug2sXJbWDtfY2GgiQNzCXfKhKilAepKsmdq1g6lzrnWvFDqjC40ryKzliDDfqKQY6bBVVVVmzlorlY9RvHFLFFuTVVvWXcjO7Hp+9AzKBrPBBhuw2Wab5XTdyZMnA7Yti4ts7JoJnmE9PMoIGRlWu5GKcEkvycU/Jh1SepAY1+0f2qNHD2MxFgsqaurnn39OGod7nPRj6UnB1pXSXcXacUcUBaEIrSDEPJUAl3mrqqpMyVPZGWQdFrtFEdGUK/RsBZnVzZQJawfiljLVs58LJEWozG0c8Azr4VFGyMiwYiklGYv5JN/X1dUZ5gxrveD6u7TTKW518cUXZ+mllwZsRIriTJVLKx1VzKVzKAIqyKra5WSlFksr6qUUSJesXgrrcKkQlGgADjvsMJOsL6uqpLB00T1xI52e6lqF9ZxI9y5kfVT875xzzsn7u4XCM6yHRxkhI8NqF1KBMFmHtcPOnTs3dGcKiwZxmfj444+nb9++QGojpTFjxgC2JI12b43LbbQUhJhdzOoyfamh3N1KgNZfhbTljwWrv0lqak1NvIKQTn3fffcBsM8+++T83ZaUljIGTlRXVycgtYZPsDKeRFu3O5nEVv2uc0hUlXj7xBNPmBAynf/CCy8EmkP6gudSnSDV+pG4JQPBH3/8YcIcNR65F+QS+vXXXyMLnHAXTqK7HgbhySefNPWbhTiNYHF3YNd6yAjYoUMHsyEqgV3FBtx5R4E4+8OqZI9S9VS3K+qX1DV2ybilemA+cMLDowKQUSQOdhAHayjSDnvHHXdwxBFHADa4XyKG676Rci9mVcGyZ5991iSuq6yIqqLrp9xJgstgGs+8efNMYoAbMBFHOpsrncgoJzFcBq/dd9+9pG6lILRmUdRlFrS2OndVVZWRbFRMTYUNSgElEiiE1e1YkQv0nGy++eaAfcaCzBpFbxzBfXbErFnHWfSVPTw8SoacypyKKVTQTLvPzz//nCKLu0H/gr4jF5H00AEDBvDoo48CtqK8jBgKC1M6l1xICu3StYLlSFSWUt9x6/2WMvhfKXVvvvlmXJdIi3Q6bCkDF+KGq9+1bds2KUmltULMn0sQjddhPTwqADkVYZP7RDqLSnY2NDQYF4sbuL/pppsCNtlcHej0XRXWnjFjhjmv0tHU0VqFwj///HMg3PktNDU1mWOkd4t93a7YpUCpmTUTCmFWN52ypfTwbGjtzCpEEZ7qGdbDo4yQUYf18PBoXfAM6+FRRsiow5aijUUx6NatG5Bfw6JComQyFd9O93m68pqFwm1hEUxwCENwjp06dUqAjUqKG7Lcu8X5XIT5NKurq0PLtwR06ZK3WykGKmSgZJZc4K3EHh4VgIw6bGvfuQpBrgybqTmTLM/ZrKbB48KSILI1gXJLuQbXS991WyjGHUvsok2bNqGW2mzSSSGIM5a4tcAzrIdHBcAzbAxzTFd2RDHUYsps6X65MJN830rkF4JzVMZVFAwXJiWUGp5hPTw8ygIZrcR/RyjHNljw2o34cZPw3ewcWUhlMe3Tp4+x0ipeWjHO+k6YPpyusbAiz1xmTYeIdcecj41Ddy0GhbQEKRS52jgKgWdYD48yQk46rNvuQsjkMysEijNOV8QsF3Tv3t00bgpDmP5z3HHHAXD11Vfr70BzWwY14XJ9i8cccwxgi2UrXlfNvBS/PHToUNNyUjmzYl9lJmWzFueDUluJ02GttdYCbC6znjP9/YMPPij43PnqsD179jSNxrNBrTZV7WSjjTYC0scBFyo9LLzwwlnjisN02JxE4jBHfRQP1zrrrGN66rhdu/NF8GXN9eXXi6IX1cUbb7xh/q+khBkzZgAwbtw4wN4f9VzRBqceqL179zYvptsvVbWPlCSRD0oldrolgnRvZUjbZZdduP322wGYOnUqADvssANgayU98cQTgE3kENIl2IepHoUimGKpc0uN0c8vvvgCsBuKXigloLz44oumkv9ZZ50FFJ6qGHxZ892ovUjs4VFGaBVuHbGYEr7jrErnihrZ3B5VVVWGYbQbuhKHKxlI3BVrzJ8/3xwjllYJlccffxxI7mGaK8IYNiqRWCK9xMlJkyYBVjqQ6L9gwQIzvzPPPBOA559/HrAi/0orrQTYMkAyArndHHJhmjjcOu69VPEEVQzdfvvtjbgsyapnz55APMYl79bx8KgAtAqGdcew3XbbAXaXjvhaee3OXbp0MTqH2909rE+LW+o1yBpiLbGwfiowPNfg+UwolmHdzgouG6oUqIqeNTY2mo7rKierWtLPPPMMYHXFW265BbBrq1JBcqPV1NRkdb0UwrDuWohBVWvbdedpLVV7+csvvzQlc91ihG4/oSjgGdbDowJQ8sAJV1f48ccfzWfa/eJg1nyh3XP27Nkpn2kXdtlQc3PdYNXV1caiKvYdOnQoAPvttx8AQ4YMAeC2225Lula6MMewxIFCe+BqvK7rRed1u5KroLvYdNCgQSbU0k2b22uvvYDm/jtgy6CqHJDYNKwMUFRwzytmdfsXa67rrrsuAO+//z4A/fr1M2vodlOUHaIU8Azr4VFGaDEdVkXCjzzySC644IKkz1w/XJRwdYOampqk4JBMvrUwq+yyyy4LwPrrrw/A6NGjAcsebdq04ZRTTgFsUvtll10GWBa+6aabAJsUoHsi9g7qy9n8r/nqsLLwqnCe/OITJ04EYIUVVgAs86qAXlDfCxuL7qv0uxtuuAGAE044AbCWdLF2XV1d1qLncViJXWlF93jbbbcFmn2nb731VtJ3ZNuQfh5nCqEZZ2RX8PDwiB0tbiVOd/0rrrgCgJNOOimO66XdnWUJFWtk0qW0+yqc8d577wWs5VGsKZ/rbrvtZrqBq1mUwhlVjlW+PbGbirY/8MADgC0TC+E+y3QlVPJhWK3FddddB9joL7G8IrwKgXzsCvmTRHH22WcDqTpkJrREet3MmTNNSSKtv+5/vhF6NTU1WX23nmE9PCoALc6wr7zyimGdwHVju17Y7lxISpRYWQHiamgk6/HJJ58MwMUXX2xiaeWHVZSMGEZx0IopVoSQ/JuZGF96oVqejBkzxsxROnqm70tPe+WVVwDbEEqW3BNPPBGwLSTzge7rkUceCVjWFqN27doVsD7flop0yobGxkbT7sRNq4yiQLiwzDLLADBt2jTPsB4e5Y4WZ9h012/JWOJM7RnlQ5SvVOwhnVVtM/W72GP+/PnGz6jvyOKqZtbSZTV3xVfLTy2Lc1NTkzlHWOGzfKzEHTp0MDrqnnvuCTRnUEFzO9HgGMIyn9q0aWMkE7GQrN3bb789ADfeeCNgrfCKeJLuHsyKyoZSMqz0dklEgMnaURRUHPA6rIdHBcAzbEi2TtDX6ZYT1e9qaalsFvkc1dz6rrvuMueQvisGV07lhRdeCNjcUjWelt9Suq3yNWtqapKiw4JQ5FFDQ0NeVmLFbquom3TXc845B7BZOdJlX3zxRcBGpK2++upssskmgGX9Z599FrAW/5EjRwJWUtB8FAklCaS1WIm11op1bt++vflb7969geKs5tlQVAJ7nGhqaio4pC4KZAg+MP93DSEyKmnB3N64eqEkJlZVVZmXSYETMkjpuwqBlPtGLq39998fsC/VmDFjQueSrRJjEHr4qqqq6NevHwBXXXUVAA899BDQ3LsX7PwPOOAAwPY5VYB/IpFg4MCBQLMLC+xmphdVYvyrr74KWFeRXtzg/W4N9aC0ltq0LrnkEvOZ1ihOYgmDF4k9PMoIf3uRWHPMZVcP65earaSJxGGwImFYFb8g8wV/BlP6Lr/8csAmDLjfbWpqMnNs165dAjKHXLplU3bffXfAuosUoqgQTDGsrjdv3jwzZ6kFbrK//i4pQKGIEp1diSPdvAL3t2RGJ7nKJDkE4brzooQ3Onl4VABajGGHDRsGWOOLc924Lhtp9zrplSrvMn369KTPg2l2bod6N3VNkO4kZlKghWoRL7TQQrz77rtJ35ErRSyazq0jI5ZrKKmpqTFsv/baawO2jIs6yMt4NmXKFMAmpSs085dffjGlYXr06AHYzoIymqlKotxZ559/PoBJClfgxAsvvJC1XEwpGVZ1oxdZZJGUQgVK8lC5nyg7wXuG9fCoALQYw2644YYAKSlLf103rstm3Z3TJYy7gQr6XSVSNttsM8DWHBbTij2ampoMGyv8TwEFsvqKUcVA+qnkaI1n1qxZWXXpfIL/a2trjUtJIYqy7CqZYYkllgBs0nffvn0BKy00NDSYe6KQSiWAjx8/HkhlIUlYKofqSieZUAqGlXSkAJpvv/02xfWmtdx5550B6wKKAp5hPTwqAC3GsBtssAEA9913n0lDc0ufxIFCrMRu6ZdrrrkGsKwh66osnmIRhTCOHj3a+GaVZidd8uWXXwYsEylZ/NJLLzXfDX4eTBaPosxp27Ztja6on+r/o4T8p556CrCWas1Xne/79u2bUqY12DkheE9kaZberELj0n2zdZd355fLHPOBGySj0q6HH3640d1lj9Axuk9ao7ByuPnAM6yHRwWgxSKdVMBK7ArWstgSyCWqRjundJdDDjkEsOyx0047ATbdSj68b7/91gS3KyH98MMPB+DOO+8ELDuvscYaST8V2qe0qxkzZuTVvS4bEolESkqh2lM8/fTTgF0XlfOU5VeMm64IusaoMEbpgkpyULqhkh90rmJYKQpIylDihsJMb7rpJmONl2QxaNAgAJ577jnAPkNxzsEzrIdHGaHFGFaMESwqFgVjFAu1lFAKFdidU35OxdrefffdgN1RtQMrwF+RQnV1dcbqKx1OqWvS8ZTa1r9/fwCuvfZawOpLQSuq7pMrFRTSTCxdwr5rfQ42kwoind/RDZqXpVkJErI0n3feeYC1EqtkTqaCbnHALVyg9ZcPWmmB3bt3NzYMFVLX/PVcqElYWHJGFPAM6+FRRmgxK7Hr0wSr38hKGQeyWYndAlvpoIJi0u2UjK2i0/JBSk8bPHiwKf0iJpWeK3+0dm1l8yjm1vUBV1VVGQYPa+cRVTMssf/DDz8MWHtDpmRz3T+NUX1xdT9VvlXWV/mjxXANDQ1ZGTZOK7GKxCnCSRlKQYh9JT0o/TBbPPoZZ5wB2JTKTPBWYg+PCkBeDKtdXha9QuBG5QQhP9eOO+5Y8PmzISyBPRdmDYNyXRUHfO655wLWwrvYYouZpPBg+w6weaPKsVSBdTGwy7C1tbV5NYsqhH3c1h3KdR07diyQPu9W4wz6ngGuv/76pPlo3rKoKzosWMA7bC3SRXKlm2MxrUsmTJgA2LjqdFActLKmVD5GDc2igGdYD48KQIvpsCp7udZaa5ndVpbjOP1YYfpPvq3rnXPo3Gn/nu6zQhF1pFMmSEeTriyLtSB9u2PHjkY6Uly1oEwfSWWKjVaO7dSpU5PmUF1dnXUNShFLLElH3oJ77rnHMKvmHSfCGLbFE9hLjVwXWw9YU1NTwR3VFCweZVB4EGFJEsEE9nwq/4fVZJYBSaKwHmY9uM8995xxWylxQIa5fffdF7BGHKVT6uEXWroDuws3waJt27ZZS/BIdVAQTDHwIrGHRwXAM2yW9Lra2toUEb0li4PlguAc6+rqEpBaikaIOlBBbK2avSoFo1DUKNASlf9LDc+wHh4VgL89w4qBFMg/atSoFhhVdgR1qrDyMkI6o5ObUN5SiKKEqWdYDw+PssDfnmHzKcIWOEfe182VWQpxL7kWzQULFuRsJc7Uq1QBFPn0bi0FPMN6eHiUBTIyrIeHR+uCZ1gPjzKCf2E9PMoI/oX18Cgj+BfWw6OM4F9YD48ygn9hPTzKCP8Pz/EO3x/8vmYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  8\n",
      "Iter: 3500, D: 0.2337, G:0.1497\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  9\n",
      "Iter: 3750, D: 0.2299, G:0.1453\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 4000, D: 0.2349, G:0.1458\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "EPOCH:  10\n",
      "Iter: 4250, D: 0.2207, G:0.1726\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 4500, D: 0.2172, G:0.1847\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# LSGAN\n",
    "D_LS = discriminator().to(device)\n",
    "G_LS = generator().to(device)\n",
    "\n",
    "D_LS_optimizer = torch.optim.Adam(D_LS.parameters(), lr=1e-3, betas = (0.5, 0.999))\n",
    "G_LS_optimizer = torch.optim.Adam(G_LS.parameters(), lr=1e-3, betas = (0.5, 0.999))\n",
    "\n",
    "train(D_LS, G_LS, D_LS_optimizer, G_LS_optimizer, ls_discriminator_loss, ls_generator_loss, train_loader=loader_train, num_epochs=10, device=device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}